2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Functions

JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    R is a relation from \[\{11,12,13\}\] to \[\{8,10,12\}\]defined by \[y=x-3.\] The relation \[{{R}^{-1}}\] is

    A) \[\{(11,8),(13,10)\}\]

    B) \[\{(8,11),(10,13)\}\]

    C) \[\{(8,11),(9,12),(10,13)\}\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] We have, \[R=\{(x,y):y=x-3,x=11\]or 12 or 13, \[y=8\] or 10 or \[12\}\]\[=\{(11,8),(13,10)\}\] \[\therefore {{R}^{-1}}\{(y,x):(x,y)\in R\}=\{(8,11),(10,13)\}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner